Further results related to variance past lifetime class & associated orderings and their properties

Mervat Mahdy

Physica A: Statistical Mechanics and its Applications, 2016, vol. 462, issue C, 1148-1160

Abstract: If the random variable T denotes the lifetime of a unit, then the random variable T(t)=[t−T∣T≤t], for a fixed t>0, is known as the past lifetime. In this study, we present some new properties of the mean and variance for past lifetime classes (orderings). In addition, we consider an (n−r+1)-out-of-n system with identical components where it is assumed that the lifetimes of the components are i.i.d. We assume that the system fails before time x,x>0. Under these conditions, we are interested in studying the variance time elapsed since the failure of the components. Several properties of this function are studied and an example is provided.

Keywords: Conditional variance; Formation of coherent system; Generalized gamma distribution; Increasing-variance inactivity time; Lindley distribution (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S037843711630334X
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:462:y:2016:i:c:p:1148-1160

DOI: 10.1016/j.physa.2016.06.066

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().